A local church has been experiencing steady growth in membership and wants to launch a membership drive. Before they begin, they would like to find out what types of people are most likely to attend services each week. A random sample of 15 existing members has been asked how many times they attended services over the past five weeks and for certain other information. Which independent variables have significant relationships with attendance? a. Attendance by education Less than Highschool High School College 0 1 0 1 3 3 2 3 4 3 4 4 4 5 4 b. Attendance by the length of residence in present community Less Than 2 Years 2-5 Years More Than 5 Years 0 0 1 1 2 3 3 3 3 4 4 4 4 5 4 c. Attendance by extent of television watching Little or None Moderate High 0 3 4 0 3 4 1 3 4 1 3 4 2 4 5 d. Attendance by number of children None One Child More Than One Child 0 2 0 1 3 3 1 4 4 3 4 4 3 4 5
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
A local church has been experiencing steady growth in membership and wants to launch a membership drive. Before they begin, they would like to find out what types of people are most likely to attend services each week. A random sample of 15 existing members has been asked how many times they attended services over the past five weeks and for certain other information. Which independent variables have significant relationships with attendance?
a. Attendance by education
| Less than Highschool | High School | College |
| 0 | 1 | 0 |
| 1 | 3 | 3 |
| 2 | 3 | 4 |
| 3 | 4 | 4 |
| 4 | 5 | 4 |
b. Attendance by the length of residence in present community
| Less Than 2 Years | 2-5 Years | More Than 5 Years |
| 0 | 0 | 1 |
| 1 | 2 | 3 |
| 3 | 3 | 3 |
| 4 | 4 | 4 |
| 4 | 5 | 4 |
c. Attendance by extent of television watching
| Little or None | Moderate | High |
| 0 | 3 | 4 |
| 0 | 3 | 4 |
| 1 | 3 | 4 |
| 1 | 3 | 4 |
| 2 | 4 | 5 |
d. Attendance by number of children
| None | One Child | More Than One Child |
| 0 | 2 | 0 |
| 1 | 3 | 3 |
| 1 | 4 | 4 |
| 3 | 4 | 4 |
| 3 | 4 | 5 |
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